Example Given the supply function P=10+ vg Find the price elasticity of supply. (a) Averaged along an arc between Q=100 and Q=105 (b) At the point Q=100.

The perimeter of rectangle A is k times the perimeter of rectangle B. Therefore, option C is the correct answer.

Here, we have,

Given that, rectangle A has a length and width that are k times the length and width of rectangle B.

We have,

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the length of a rectangle A is L and the width of a rectangle A is W.

Let the length of a rectangle B is KL and the width of a rectangle A is KW.

Now, Perimeter of a rectangle A

= 2(L+W)

Perimeter of a rectangle B

= 2(KL+KW)

= 2K(L+W)

The perimeter of rectangle A is k times the perimeter of rectangle B. Therefore, option C is the correct answer.

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complete question:

If rectangle A has a length and width that are k times the length and width of rectangle B, which statement is true?

A. the perimeter of rectangle A is 2k times the perimeter of rectangle B.

B. the perimeter of rectangle A is k^2 times the perimeter of rectangle B.

C. the perimeter of rectangle A is k times the perimeter of rectangle B.

D. the perimeter of rectangle A is k^3 times the perimeter of rectangle B.

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

vertex: (-1,-2)

no x intercepts

domain: negative infinity to positive infinity

range: negative infinity to -2

Answer:

cross multiply so it becomes 8x=18 then divide both sides by 8 and x= 2 2/8

Step-by-step explanation:

The probability flipping of four coin that will give head is 0.93

Probability:

In statistics, Probability defines the possible way of occurring a particular event.

Given,

A flipped coin can land in one of two states: heads or tails.

Here we need to find the probability while flipping four coins then  how many of these coins land in the heads state.

In order to calculate the probability of these event, we have to know the values of the sample space and the possible number of events,

Here the value of sample space is written as,

S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

So, the value of n(S) = 16

The possible number of way to obtain the head state is,

E = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

the value of n(E) = 15.

Therefore, the probability of getting head state is

=> P(E) = 15/16

=> P(E) = 0.93

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Answer:

maybe answer is D

HOPE IT HELPED

Answer:

Solution,

\(volume = (8 \times 5 \times 5) + (5 \times 6 \times 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: = 200 + 90 \\ \: \: \: \: \: \: \: \: \: = 290 \: {m}^{3} \)

Hope this helps..

Good luck on your assignment..

The equation of sphere is (x -1 )^{2}  + (y - 2 )^{2}  + (z+3 )^{2}  = 14.

According to the statement

we have to find the equation of the sphere which passes through the a(1,2,-3), with center b (2,4,0).

So, For this purpose, we know that the

Sphere is In analytical geometry, if “r” is the radius, (x, y, z) is the locus of all points and \((x_{0} , y_{0} , z_{0})\)

is the center of a sphere, then the equation of a sphere is given by: \((x -x_{0} )^{2} + (y - y_{0} )^{2} + (z-z_{0} )^{2} = r^{2}\).

So, Here from given equation

The sphere that passes through a(1,2,-3), with center b (2,4,0).

here the locus point is a(1,2,-3).

The radius of sphere is

\(Radius = \sqrt{(1-2)^{2} + (2-4)^{2} + (-3-0)^{2} } \\Radius = \sqrt{(1 + 4 +9 }\)

So, radius is square root 14.

And then the equation of sphere become

\((x -1 )^{2} + (y - 2 )^{2} + (z+3 )^{2} = 14\).

So, The equation of sphere is (x -1 )^{2}  + (y - 2 )^{2}  + (z+3 )^{2}  = 14.

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This is not a polygon as it has a section (at the bottom) which is composed of non-straight segments.

Answer:

68%

Step-by-step explanation:

So we had 34 filets and 16 steaks.

We can add these two together to find the total amount of items sold.

\(34 + 16 = 50\)

So 50 total, but we're dealing with filets which is at 34

A percentage can be found by dividing 50 and 34

\(34\div 50\)

Giving us 0.68, also known as 68%

The distance left to hike by Cassius is equal to 1.44 miles . Dana hiked 3.5986 miles

We are given that Cassie hiked 4 tenths of a 4.7-mile trail and  Dana was 1.6 miles ahead of Cassie.

Since Cassius walked 6/10th of the trail of 3.6 miles.

Part of the trail remaining = 1 - 6/10 = 4/10 = 2/5

Distance remaining will be  2/5 of 3.6 miles

= 1.44 miles.

Hence distance left to hike by Cassius = 1.44 miles  

b. Total distance by which Dana was ahead of Cassius =  1.6miles.

Distance left to hike by Dana= 1.44 miles - 1.6 miles = 0.0014 miles.

so, the distance hiked by Dana= 3.6 miles - 0.0014 miles = 3.5986 miles.

Dana hiked 3.5986 miles.

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Answer:

16/4

Step-by-step explanation:

BRAINLIEST?!

Answer:

16 fourths

Step-by-step explanation:

If one piece of wood is cut into fourths then you have 4 fourths. If you multiply that by 4 you have 16 fourths

Answer:

No, it's not long enough

Step-by-step explanation:

The perimeter of the square is 4/5. P=4s where s is the side length. 4/5 is larger than 5/8, so there will not be enough lights to cover the whole perimeter.

Option B, which represents the correct Percent equation, is the correct answer.

The correct answer is option B.

To find the percent of a number, we need to divide the amount we want to find the percentage of by the total or whole amount, and then multiply by 100 to express it as a percentage.

In this problem, we want to find the percent of 74 that is 38. Let's use p to represent the unknown percentage.

The percent equation for this problem is:

38 = p/100 * 74

We divide 38 by 100 to express it as a decimal, and then multiply by 74 to get the amount that corresponds to the percentage we want to find.

Simplifying this equation, we get:

0.38 * 74 = p

So the percent of 74 that is 38 is approximately 28.12%.

Therefore, option B, which represents the correct percent equation, is the correct answer.

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Answer:

X=1.132589

Step-by-step explanation:

If im correct the answer would be x=1.132589

3

x2−1

−2(x+3)=

5

x+1

3

(x+1)(x−1)

+−2x−6=

5

x+1

Multiply all terms by (x+1)(x-1) and cancel:

3+(−2x−6)(x+1)(x−1)=5(x−1)

−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)

−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)

−2x3−6x2−3x+14=0

(Use cubic formula)

x=1.132589

And dont forget to check your answer

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

Answer:

The average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

Step-by-step explanation:

The water level of a certain body of water is changing at a rate represented by the function:

\(\displaystyle W(t) = \frac{1}{2}\cos \left( 3- \frac{t}{2}\right)\)

Where W is measured in inches per hour and t represents hours since 12 A.M.

And we want to determine the average hourly number of inches that the water level changes for the lake in one day.

Recall that the average value of a function is given by:

\(\displaystyle f_\text{avg} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx\)

Hence, the find the average hourly number of inches that the water level changes in one day, we simply need to find the average value of W from t = 0 to t = 24.

Substitute:

\(\displaystyle W(t)_{\text{avg}} = \frac{1}{(24)-(0)} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt\)

Simplify:

\(\displaystyle W(t)_{\text{avg}} = \frac{1}{24} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt\)

Evaluate using u-substitution. We can let:

\(\displaystyle u = 3 - \frac{t}{2} \Rightarrow du = -\frac{1}{2}\, dt\Rightarrow -2\, du = dt\)

Hence:

\(\displaystyle W(t)_{\text{avg}} = -\frac{1}{24} \int_{3}^{-9} \cos u \, du\)

Evaluate:

\(\displaystyle \begin{aligned} W(t)_{\text{avg}} &= \frac{1}{24}\int_{-9}^{3} \cos u\, du \\ \\ &= \frac{1}{24}\left(\sin u\Big|_{-9}^{3}\right) \\ \\ &= \frac{1}{24}\left(\sin3 - \sin -9\right) \\ \\ &=\frac{1}{24}\left(\sin 3 + \sin 9\right) \\ \\ &\approx0.0231 \end{aligned}\)

In conclusion, the average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

Answer:

the number is 25

Step-by-step explanation:

If the number is n, then twenty-two more is n + 22

which equals 47, so n+ 22 = 47

n = 47 - 22 = 25

For two events A and B in a sample space (a) Pr(AUB) = 1.0000000000001. (b) Pr(AIB) = 0.7840058543652 (c) Pr(BIA) =0.0280920459043 (d) Pr(A') = 1 - Pr(A) = 0.00769999999999996. (e) Pr(A) = 0.9923. (f) Pr(B') = 0.96443. (g) Pr((AUB)') = -1.11022302462516 x 10^-16.

Let A and B be two events in a sample space for which Pr(A) - 0.9923, Pr(B) = 0.0355700000000001 and Pr(AB) 0.02787 then :

a. To find Pr(AUB), we use the formula: Pr(AUB) = Pr(A) + Pr(B) - Pr(AB)
Plugging in the given values, we get: Pr(AUB) = 0.9923 + 0.0355700000000001 - 0.02787 = 1.0000000000001

b. To find Pr(AIB), we use the formula: Pr(AIB) = Pr(AB)/Pr(B)
Plugging in the given values, we get: Pr(AIB) = 0.02787/0.0355700000000001 = 0.7840058543652

c. To find Pr(BIA), we use the formula: Pr(BIA) = Pr(AB)/Pr(A)
Plugging in the given values, we get: Pr(BIA) = 0.02787/0.9923 = 0.0280920459043

d. Pr(A') = 1 - Pr(A) = 0.00769999999999996.

e. Pr(A) is given as 0.9923.

f. Pr(B') = 1 - Pr(B) = 0.96443.

g. To find Pr((AUB)'), we use the formula: Pr((AUB)') = 1 - Pr(AUB)
Plugging in the value we found in part (a), we get: g. Pr((AUB)') = 1 - Pr(AUB) = -1.11022302462516 x 10^-16.
Note that this result is not a valid probability since probabilities must be between 0 and 1.

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The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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If a curve passes through the point (0,5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P.  The equation of the curve is  y = 5e^(²x).

Let's assume that the equation of the curve is y = f(x), where f(x) is some unknown function.

We are given that the slope of the curve at every point P is twice the y-coordinate of P. This means that:

f'(x) = 2f(x)

where:

f'(x) is the derivative of f(x) with respect to x.

We can solve this differential equation by separating the variables and integrating:

1/f(x) df/dx = 2

Integrating both sides with respect to x, we get:

ln|f(x)| = 2x + C

where C is a constant of integration.

To find the value of C, we can use the fact that the curve passes through the point (0,5). Substituting x=0 and y=5 into the equation, we get:

ln|f(0)| = C

Since ln|f(0)| is just a constant, we can write it as another constant, say A. Therefore:

ln|f(x)| = 2x + A

Taking the exponential of both sides, we get:

|f(x)| = e^(²x+A)

Since f(x) cannot be negative (otherwise, the slope of the curve would be negative at some points), we can drop the absolute value signs:

f(x) = e^(²x+A)

To find the value of A, we can use the fact that the curve passes through the point (0,5). Substituting x=0 and y=5 into the equation, we get:

f(0) = e^A = 5

Therefore, A = ln(5). Substituting this value into the equation, we get:

f(x) = e^(²x+ln(5)) = 5e^(²x)

So the equation of the curve is y = 5e^(²x).

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Answer:

-6 (x + 8y)

Step-by-step explanation:

Factor -48y -6x

-6x-48y

Answer : -6 (x+8y)

Answer:

84m

Step-by-step explanation:

The perimeter of a triangle is the sum of the length of the external sides.

Therefore, the perimeter of the triangle = 21m + 28m + 35m = 84m.

Hey there!

What is the formula for finding the perimeter of a triangle?
a + b + c = perimeter

What does the labels mean?
a = side 1

b = base

c = side 2

What should the equation look like?
21m + 28m + 35m = perimeter

How do should it be solve?
21m + 28m + 35m = perimeter

49m + 35m = perimeter

84m = perimeter

What is the answer to the question?

84m

Good luck on your assignment and enjoy your day!

~Amphitrite1040

A. approximately Normal, with a mean of 1100 and a standard error of 204.12.

This is because the Central Limit Theorem (CLT) states that the sampling distribution of the sample mean tends towards a normal distribution with a mean equal to the population mean and a standard error equal to the population standard deviation divided by the square root of the sample size.

In this case, the sample size is 24, so the standard error is 1000/sqrt(24) = 204.12. Therefore, the sampling distribution of the sample mean is approximately normal with a mean of 1100 and a standard error of 204.12.

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Answer:

$1.44

Step-by-step explanation:

9kg costs $12.96

1kg costs ($12.96*1kg)÷9kg

=$1.44

The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

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To work out the percentage reduction, we need to find the difference between the original price and the reduced price, and express that difference as a percentage of the original price:

Original price = £12500

Reduced price = £11625

Difference = £12500 - £11625 = £875

Percentage reduction = (Difference / Original price) x 100%

= (£875 / £12500) x 100%

= 7%

Therefore, the percentage reduction in the price of the car is 7%.

Answer:

Step-by-step explanation:

Discount \(= \pounds12,500 -\pounds11625= \pounds875\)

Percentage reduction \(=\frac{875}{12500} \times 100 = 7\)

The price of a new car was reduced by 7%.

Answer:

3150 wpm

Step-by-step explanation:

70/1=x/45

x=70*45 x=3150

Hope this helps plz hit the crown :D

Answer:

Helen can type 3150 words in 45 minutes.

Step-by-step explanation:

70 words Multiplied by 45 minutes

70×45=3150

Hope it helps!